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5102513000 = 2353133891009
BaseRepresentation
bin1001100000010001…
…00010101101101000
3111011121021111221222
410300020202231220
540422220404000
62202152321212
7240305434124
oct46010425550
914147244858
105102513000
1121892655a2
12ba49a3208
13634172180
14365948584
151ece55a85
hex130222b68

5102513000 has 128 divisors (see below), whose sum is σ = 12904164000. Its totient is φ = 1877299200.

The previous prime is 5102512979. The next prime is 5102513033. The reversal of 5102513000 is 3152015.

It can be written as a sum of positive squares in 16 ways, for example, as 1850548324 + 3251964676 = 43018^2 + 57026^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5102513000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5056496 + ... + 5057504.

Almost surely, 25102513000 is an apocalyptic number.

5102513000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5102513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452082000).

5102513000 is an abundant number, since it is smaller than the sum of its proper divisors (7801651000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5102513000 is a wasteful number, since it uses less digits than its factorization.

5102513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5102513000 is about 71431.8766378149. The cubic root of 5102513000 is about 1721.5832951170.

Adding to 5102513000 its reverse (3152015), we get a palindrome (5105665015).

The spelling of 5102513000 in words is "five billion, one hundred two million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 389 500 520 650 778 1000 1009 1300 1556 1625 1945 2018 2600 3112 3250 3890 4036 5045 5057 6500 7780 8072 9725 10090 10114 13000 13117 15560 19450 20180 20228 25225 25285 26234 38900 40360 40456 48625 50450 50570 52468 65585 77800 97250 100900 101140 104936 126125 126425 131170 194500 201800 202280 252250 252850 262340 327925 389000 392501 504500 505700 524680 632125 655850 785002 1009000 1011400 1264250 1311700 1570004 1639625 1962505 2528500 2623400 3140008 3279250 3925010 5057000 5102513 6558500 7850020 9812525 10205026 13117000 15700040 19625050 20410052 25512565 39250100 40820104 49062625 51025130 78500200 98125250 102050260 127562825 196250500 204100520 255125650 392501000 510251300 637814125 1020502600 1275628250 2551256500 5102513000